N <- 2000
D <- 2
K <- 30
X <- 
structure(c(-2.38902, -3.55874, -2.76165, -6.11488, 5.21905, -0.350135, -2.94709, 3.33305,
-3.8108, -5.22023, -1.1498, -5.15334, -0.824992, -1.70089, -2.97629, -3.79178, -2.187,
-3.72553, -3.42921, -5.03246, -4.90648, 4.48706, 6.79164, 3.98822, 5.10087, -1.7981,
-2.15061, -3.69752, -2.33062, 4.51444, 6.19527, 5.43072, -0.530845, 3.11387, -3.20551,
-4.55607, -4.25943, -4.84327, -3.94418, -1.55267, -5.71165, -3.66746, 0.568248, -2.93152,
-5.5757, -6.83957, -2.83794, 3.88794, -1.60447, -2.5659, -4.00063, -3.30635, -2.98475,
-1.03345, -2.44698, 3.99047, 5.79608, -3.03701, -4.69131, -0.617593, 2.35602, 9.22379,
2.66819, 3.38828, 6.16379, -4.78166, 1.09437, -3.09113, -4.97517, -3.19766, -4.57797,
6.41835, -2.96956, -3.58993, -3.92724, -2.46588, -0.209351, -3.96721, -4.42527, 5.50434,
5.65529, -4.76548, -2.86169, 3.22388, -1.95267, 5.24179, -4.35869, 7.20111, -3.98118,
-4.89927, -2.04068, 4.9025, -4.56987, 3.91736, -4.00482, 3.54726, -3.36952, -2.2746,
4.75751, 5.52498, -4.2594, 3.33145, -4.81046, -0.884792, -2.54154, 3.05508, 3.63666,
-0.382569, -3.1633, -4.11714, -3.23162, -3.39553, 5.50221, -3.53235, 3.43217, -0.109792,
6.49345, -4.4653, 4.96306, -2.11966, 6.08484, 5.92337, 3.09891, 6.52999, -4.75983, 3.95457,
-3.40664, -3.48851, 6.03937, -4.82085, -3.54867, -2.07298, 5.83433, 3.75121, -4.49886,
3.01807, -0.755171, 5.35548, 6.09091, 2.1659, 3.42902, 5.02184, 2.1751, 5.72267, -2.2601,
4.12501, -2.34605, 4.12946, -3.17107, -2.60411, 3.28767, -1.71285, 3.4824, 1.94516, 3.06491,
6.14795, -3.89302, -3.70711, -4.04272, 3.73261, 2.11972, -2.81492, -3.55704, 2.95579,
-3.51481, 1.64625, -4.30623, -4.18899, 5.02874, 2.66873, -4.06535, 4.93638, -4.56204,
3.66532, 7.1883, -2.07475, -1.88981, -1.88105, 7.14421, 4.01271, -3.32037, -3.58177,
-3.27744, -3.77877, 5.54247, -5.08341, -2.30047, -2.75118, -0.953323, -3.00373, -0.402598,
1.21424, -4.51492, 4.02889, -1.21698, 3.36625, 3.98021, 4.9466, 3.30588, -3.94502, -3.37814,
-2.57739, -1.51383, -2.49449, -3.34527, 5.75139, -5.98843, 5.92416, -3.47031, -4.06693,
-5.79154, 0.159639, -2.9919, -5.0433, 3.76416, -2.56622, -3.78982, -3.61933, -2.57015,
-0.8255, -0.256325, -2.86973, 3.1642, -2.3489, 0.0523934, -4.20584, -3.46877, -3.87933,
3.64212, 3.63801, 5.42614, 5.54158, -3.22526, -1.61735, 4.95436, -2.05136, -2.20598,
4.98432, 4.10585, 7.02353, 4.21753, -2.31535, 5.03414, 4.11741, -2.24432, -2.73238, 5.66198,
5.26569, -7.70574, -3.87502, 6.43931, -3.31376, -2.01519, -2.22802, 4.79829, -3.41837,
-2.99829, -2.06374, -2.0316, 3.7412, -3.15253, 4.22339, -4.07713, -4.9697, 3.44641,
-0.979156, 1.89151, -2.72516, -0.576819, -2.40735, 3.62559, -4.699, -2.31812, -5.12509,
3.29399, -4.47697, -5.19491, -2.73839, -3.67282, 5.35836, -6.15275, 2.80063, -2.41191,
-1.04701, -5.26297, -5.87822, -2.1767, 4.59141, -4.04651, -1.60909, 2.63988, -2.50219,
-2.68889, -3.7741, -2.4338, 3.12429, -0.805793, -3.95298, -2.69574, -1.86698, -4.14696,
-4.02246, -4.80217, 3.71097, 4.13102, 3.19619, -1.75544, 3.52747, 4.22976, -4.77992,
1.09435, -5.28187, 5.73424, 4.23097, 3.18868, -3.17925, 0.936985, -2.85472, -3.5352,
-2.87656, 3.54904, 4.86504, -3.42533, -2.45391, 2.34719, 4.9645, -0.314767, 3.47763,
3.03366, 5.43059, 4.83742, -3.69388, 0.21681, -4.06792, 4.40118, -2.07572, -4.41691,
-4.9839, -4.85899, 4.59331, -2.51667, 5.83202, 5.71159, -0.0428287, 1.95651, 3.1062,
-5.06502, 5.9306, -2.76262, -3.32493, 5.30934, -4.47998, 3.04257, 5.22882, -2.92491,
-0.325774, -1.77407, 4.74137, -2.40803, 0.710928, -2.35638, -1.75941, -2.96953, -2.81194,
-4.50314, -1.13339, -2.11298, -0.329525, -3.32897, -6.7219, -3.95924, -0.740115, 5.6376,
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5.94203, 4.43664, 1.70103, -4.98855, -6.12012, -2.11664, 3.04391, 4.79483, 4.27494, 2.19012,
-2.38454, 3.54446, 3.32981, 1.20648, -4.77862, 3.54855, -4.32439, -2.1236, 3.78742,
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-4.13809, 4.64194, -3.0578, 8.13134, 2.96154, -2.13898, -3.25977, 4.20295, 4.06914, 4.15409,
3.83272, 0.036635, -2.55816, 4.29596, -2.1768, 3.65921, 3.27375, -5.29103, -4.5839, 4.17454,
-4.42581, -3.85125, 3.39717, -2.49103, 3.83159, 3.48787, 0.299491, -2.95552, -1.76994,
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-1.7409, 3.10864, 5.71273, 4.11006, 5.60068, 1.49334, -3.7566, -2.10547, -1.94912, 5.62479,
1.63222, -3.09248, -3.88347, 6.04309, 3.46254, 3.46248, -2.49169, 5.33017, -1.70509,
2.58058, -1.93902, -5.13007, -0.794836, -3.35949, 7.53242, 5.53082, 4.11121, 4.46768,
5.01348, 4.58603, 3.75422, 2.06404, 6.10954, -0.781014, -4.26866, 5.73855, -3.30349,
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-4.84499, -2.25821, -3.71841, 4.92992, -2.68219, 4.38797, -3.69249, 3.21658, 6.22036,
3.65742, 6.77417, -0.512639, -2.2601, -3.5814, -4.24042, -1.52673, -3.41751, -3.4682,
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-2.69855, 1.24983, -4.53324, 6.11183, 3.86818, -2.04287, 2.28674, -2.79496, -2.93607,
-4.39627, 3.40316, -4.67127, 1.33161, -3.65323, -3.77595, -3.82485, -0.300342, 0.77647,
-5.06909, -3.84747, 2.58798, -2.19725, 4.80502, 4.52026, -0.0363022, -3.72695, 3.38603,
5.57908, -2.69973, 0.832267, -2.59299, -2.3069, -3.87556, -3.02715, 3.828, -2.084, -3.65438,
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-0.275443, -3.52868, 2.54555, 4.10306, 7.47843, -2.1182, -1.09608, -3.87135, 4.55778,
3.48538, 3.38184, -2.78841, -3.47231, -3.54377, 3.82202, 3.20738, -0.740251, 3.10637,
4.42136, -2.60259, 0.565152, 3.35787, -1.03655, -3.49835, 3.49665, 4.3891, -3.16388,
-1.87111, -5.03587, -4.07852, 4.17307, -0.344301, -2.18558, -3.79284, 6.13847, 1.14561,
-2.01767, -3.59884, -3.95066, -2.51167, 5.18743, -5.76469, 7.61198, 4.44667, 2.43541,
3.49757, 5.3898, 6.94494, 4.68404, -2.60553, -3.86955, -2.02347, -4.90205, -3.13177,
4.18881, 0.182202, -1.77, -4.85442, 4.12302, -2.09667, 3.58854, 4.59189, -2.8609, 3.80544,
-2.49523, -2.45717, 4.70298, 3.61058, 6.59014, -2.7128, -2.87868, -2.85235, -3.1594,
-3.73905, -2.98243, 3.51613, -4.8659, -3.74137, 0.625493, 3.98411, -4.30619, -3.70934,
3.77959, -2.61838, -1.97061, -4.20283, -0.982989, 1.12813, -5.14986, 2.3822, 0.587875,
-2.4632, -3.68572, -2.31035, 4.18604, 5.79495, -2.38343, 3.57977, 5.03717, 7.20571, 4.68054,
3.34984, -2.42961, -4.78135, 4.97567, -2.11959, -4.06642, -2.61807, -2.82386, -4.72442,
3.26697, -2.24122, 4.61414, 3.55693, 6.79292, 3.13363, 3.84968, -4.78573, -2.57623,
-2.31292, 3.12986, 3.9335, 7.50508, -5.59741, 3.62474, 0.858008, -5.6864, -1.04802,
-3.20257, -2.4499, 3.61444, -4.06338, -4.27339, 4.74519, 3.56003, 0.719717, -3.39916,
-6.38052, 4.56069, -4.65463, -4.64387, -2.69385, -3.6086, -1.87934, -3.36718, 3.66607,
-3.67485, 4.539, 0.914922, -5.36138, -3.19962, 2.82625, -1.73897, -4.0007, -4.03669,
-3.48657, 4.62465, -2.98819, 1.51515, 3.04826, -2.64497, 4.43092, 3.47332, 4.10336,
-2.26439, -2.56987, 3.68916, -0.700377, -4.84032, -3.5132, 3.55806, -5.85861, -2.72101,
2.24589, 4.11892, 4.95753, 4.17426, 5.46763, -0.84012, -5.05942, 4.11258, 4.84007, 5.63569,
-3.1896, -0.125773, -3.86292, -2.69423, -3.2505, 3.20991, 5.25492, -3.43065, 7.34063,
1.67905, -5.33367, -1.89734, 7.50353, -1.92112, -5.48072, 5.20379, -6.06799, -3.42794,
-4.54747, -4.78302, -1.87711, -4.39773, 3.62169, 5.82829, -4.64755, 3.7386, 4.56313,
0.265118, 8.64613, -6.6424, 3.99137, -4.35018, -6.28653, -4.32646, 6.58568, 2.82701,
-4.50173, 8.40627, 3.82474, -0.393743, -3.33842, -3.45606, -4.88393, -2.42487, 3.63172,
3.59072, 3.5665, -3.25954, 4.19942, -3.28855, -6.21801, -0.201047, 4.16154, -0.929672,
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3.92456, -4.2573, -1.9695, 5.40933, -6.47358, -2.35592, 3.19208, 6.38339, -3.40452, 5.53508,
-2.40431, 5.26413, -4.8612, -1.24735, 4.88122, 6.12133, -3.79675, 3.76619, -4.86197,
3.28939, 4.89476, 3.49828, -4.33881, 6.44094, -3.26037, -3.41926, -4.22255, 3.16337,
-1.2295, -5.08418, -3.26411, 3.269, 6.9566, 6.87091, -2.95565, 5.10125, -4.48314, -3.20934,
-3.48936, 6.12273, 0.657413, -4.28392, 5.41828, 4.57723, -3.92947, 4.357, -1.61951,
-1.53466, 8.22696, -4.74152, -2.75764, 2.82152, -3.58656, 3.16387, 4.38809, -4.05885,
-1.52732, -0.0980953, 4.18789, -4.99854, -4.82843, -1.62324, -3.11751, 2.29387, -3.48286,
4.74815, -4.36681, 4.3082, -1.93868, 3.59376, -0.739017, 6.7887, 5.14619, -6.12623,
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5.87223, -4.42162, 3.22927, -4.08543, -6.00057, -2.77571, 5.77513, -1.85201, -4.45991,
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4.19553, -2.51019, -4.05441, -0.459152, -2.79339, -4.19943, 4.52815, 3.41895, -3.15713,
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4.61904, -4.37612, -1.3469, 4.18807, -5.89916, -0.838748, -3.41409, 4.08644, -4.04163,
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2.10028, 2.0579, 4.50153, 6.28821, -2.02701, -3.22409, -3.86269, -5.56879, -3.60942,
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-5.45523, -5.21453, -3.20836, 3.55092, 3.45939, 3.4839, -5.3834, -1.84515, 3.55625,
-3.06028, -2.64505, -3.32494, 4.94791, -1.60793, -3.74504, -2.77031, 3.99451, -2.73308,
-1.78098, -4.42234, 5.44409, 4.30896, -2.79181, -3.67001, 4.1135, 3.83196, -9.2011,
-4.19997, 4.99766, 7.0265, 4.24173, -3.11266, -4.06701, -2.57378, 3.34199, -3.72598,
-4.71976, 0.0938467, -2.0575, -4.11839, -3.71278, 3.73974, -3.05089, 3.8867, -3.17368,
-1.40207, 0.80848, -3.17237, -2.46281, -1.90265, -5.71329, 3.83824, -5.07477, -2.65502,
-2.69122, -4.59188, 3.68914, -2.05042, -4.24628, 3.52714, 4.01221, 5.58089, -2.72273,
1.2037, 5.2454, -4.1588, -2.97082, -0.302129, -1.96887, -3.68979, -2.93697, -3.71762,
3.04372, 3.01732, -1.81499, -3.89287, -4.59117, 2.98861, 4.15911, -3.73674, -2.40717,
-2.6604, -3.36826, -2.90802, -3.64271, -5.35993, -4.77916, -6.36509, -4.01901, 6.21333,
-3.51858, -4.63818, -1.60463, 5.02864, 3.23945, -2.49074, 4.11299, -0.79404, -3.05906,
-0.697159, 3.35778, -0.73578, 1.12099, -0.65328, -5.16658, 0.918162, -1.71146, -1.87977,
-4.28436, 4.06189, 4.7679, -2.86668, -4.02019, -1.80661, 3.40407, 7.75683, -2.55676,
6.62061, -2.18218, 4.51077, 3.12784, 5.03286, 4.4345, -3.33325, -4.78886, -2.80702,
-3.86091, 5.67335, 3.87419, 1.91113, -3.7255, -0.300502, 3.50604, -3.8117, 6.91842,
-2.14949, -2.05116, -5.93959, 4.6915, 4.44698, 4.20388, -1.87576, -5.05421, 3.42913,
3.91043, -4.9998, 4.22926, 0.293884, 8.78489, -2.72811, 1.1249, 1.19888, -3.65843, 3.89914,
5.79938, 7.71871, 5.40596, 2.85948, 5.03725, -4.19359, 6.2876, -3.43603, 7.47287, -2.5546,
1.54571, 5.08705, -3.12095, -4.03843, 3.12575, -0.689823, -2.82776, -2.23587, 3.55804,
-4.21787, 4.52714, 3.94732, 3.47231, 4.80941, 4.24857, -0.880625, -4.53162, 5.55168,
-5.79862, 5.12952, -4.08178, 3.7511, -4.51081, 0.113895, 3.6154, 6.49646, -1.60572, 3.59217,
-0.770387, 5.13839, -3.91987, 3.09514, 3.97197, -1.95221, -4.35798, 4.54967, -7.33588,
3.87621, -1.72559, 1.9722, -5.12052, -2.18869, 3.99041, -4.69393, -1.94656, -2.33397,
-2.28422, -2.8018, -6.74984, -3.00244, -4.03137, 5.0472, -3.83523, 3.68134, 6.11363,
4.06787, -3.4337, -4.17614, 5.61433, 3.30346, 3.6677, 3.66232, -3.77714, 3.24121, -2.37644,
-4.20815, -1.97012, -1.43466, -2.55517, 6.62081, -4.98351, 6.61266, -5.79442, -0.595996,
-1.9691, 4.11569, -3.96767, -3.10267, 5.31042, 3.69278, 2.883, 3.49047, -1.46605, -4.21008,
7.43119, -0.270163, -2.31656, 3.36489, -3.44577, -2.50697, -4.70931, -1.77561, -3.06834,
-2.05295, 3.24586, 3.10174, 3.85805, 4.61565, -2.98502, -1.52403, 4.95439, -4.05405,
5.35099, 4.10384, -1.1217, 3.18481, -4.90455, -4.56401, -5.87089, 4.70201, -4.55106,
-4.57686, 4.69412, -4.39378, 4.93319, -2.56064, -3.84861, -3.11998, -2.78307, 3.24562,
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-3.82688, 9.16205, 9.95731, 4.51395, 8.63536, 8.75543, 1.9629, -3.30104, 8.01087, 2.13449,
-0.606062, 9.21785, -2.05723, 4.254, 7.72101, -4.50244, -5.06821, 1.83112, -4.00615,
-2.38664, 8.86659, 3.4985, 1.71001, 1.22172, 10.9887, 8.67083, -1.26593, 0.842692,
-0.116633, 1.6194, -1.91228, 7.29572, 7.76067, 9.12751, 9.11748, 10.4478, 2.18185, 9.26563,
2.78793, 7.14711, -2.33659, 12.7562, 1.76284, -4.38557, -3.90986, 0.236588, -2.42631,
-3.84171, -3.44474, 8.72154, 7.4774, 8.27253, 9.12234, 8.27072, -3.52178, -0.0327861,
0.909494, 9.22338, 6.16998, -4.63738, 1.0749, -2.83636, -1.88519, 6.90127, 5.50268, 8.65739,
7.18918, 5.55115, 2.88815, 7.14153, -4.22831, -5.33166, 7.18544, -5.10902, 5.06463, 1.33805,
3.32278, -5.24521, 0.774002, -2.29991, -4.14976, 9.13025, 0.927018, 9.0282, 7.53475,
8.76359, -4.9657, 5.12922, -4.66055, 8.41513, -5.69984, 7.67155, 7.50727, 5.88142, -2.17462,
-3.01432, 0.703379, -5.17279, -4.40312, 0.38955, 1.11923, 8.33275, -0.027187, 7.39209,
8.65265, 7.48193, 7.1244, 7.10411, 0.247208, -2.43477, 4.76575, -4.36367, 2.93456, 1.76835,
7.30902, 7.51134, 0.774357, 9.5775, -2.76848, 7.15767, 5.50548, 7.04748, 7.51534, -2.96542,
1.73865, 3.42941, 3.07736, 7.92188, 1.8032, -2.62367, -3.44362, -2.4745, 2.94118, 7.40372,
7.93048, 5.14682, 7.04208, -2.59857, 4.26798, -3.79465, 8.203, 0.0249975, 9.03101, -3.25068,
1.15532, -4.06596, 5.22449, 0.162959, 7.20419, 8.8367, 7.10651, 1.35356, 9.78909, 9.70999,
-3.30597, 7.52041, 8.92324, -1.75894, -0.278704, 9.34616, 2.49046, 7.90681, 0.479432,
8.51682, 0.00626578, 5.02954, -6.45686, -3.79141, 7.31051, 2.5547, 1.33005, -3.92948,
9.6855, -4.5215, 9.49169, 0.871855, 8.53388, -1.91553, -3.47272, 7.51676, 0.777312,
-5.04639, 8.41557, 9.52684, -3.89356, -0.0190364, -6.47798, 1.47554, -2.01639, -2.56177,
-2.80236, 5.19455, 8.67281, -4.41992, 10.5825, 8.14663, 0.686573, 8.78643, 9.14911, 7.74097,
8.40909, -4.16788, -5.02844, 0.964974, 7.35897, 7.9951, 10.05, -2.25654, -2.53064, 0.679714,
10.2794, -4.31002, -2.72454, 7.22656, -2.82376, -3.10984, 8.20723, 8.69104, 7.87109,
-2.62561, 3.33741, 8.26531, 0.882913, -5.44837, 7.06494, 8.14326, -2.79219, 0.83445,
1.29138, 1.36391, -4.07038, 1.11108, 2.86652, 9.12761, 8.86418, -3.01019, 7.25003, -2.58529,
-3.90048, 10.374, 7.81401, -5.98448, 11.252, 0.638642, -2.71487, 5.77619, 9.18361, -3.54991,
8.36534, 7.44182, -2.77818, 7.1314, -3.17934, 7.26765, 3.10613, 7.88413, 3.25603, 8.01578,
3.38386, 3.61156, -4.60734, -1.70029, -3.69261, -0.198186, 6.4771, 7.2071, -1.86832,
7.51456, -2.46418, 7.81308, 0.0329138, -3.44014, 2.40107, -3.25104, 7.20706, 1.17897,
0.768718, 9.53997, 8.68544, 7.0325, -2.81156, 9.66162, 8.45597, 2.47663, -2.80808, -2.27714,
-8.19807, -4.89319, 8.208, 9.59422, 7.01584, 8.66538, -3.56062, -6.22921, 7.60959, 8.08425,
3.5726, 4.9745, -2.39263, 10.3549, -3.09503, -2.45353, -2.15141, 8.09082, 1.78708, -2.03715,
-3.03902, -3.14576, 8.91192, 10.7997, 9.04574, -1.80816, -2.43323, -1.8649, 7.97124,
3.22568, 2.60355, 7.21519, -4.47148, -3.82745, 1.48082, 9.88856, -4.85554, -2.59255,
0.737568, -4.64808, 7.58163, -2.91247, 1.38471, -1.97917, -2.98964, 9.75954, 4.36505,
0.932484, -4.23462, 9.08272, 4.67004, 9.59033, -3.01758, -2.72442, 3.26414, 0.892432,
6.9831, -2.94716, -2.76385, 9.79579, 1.95319, -3.51994, -2.87713, 8.1406, -2.8753, 7.17411,
7.6209, 3.78345, -3.74935, 3.87392, -3.75074, -2.22447, 9.40146, 8.07726, -5.98997,
-2.37197, -4.95658, 7.02385, 8.17741, -4.33798, -2.90038, 9.06158, 7.74231, 8.39845,
8.95285, 8.72493, 1.40385, 5.67062, -2.87617, 8.76798, 1.70214, -3.34189, -3.82611, 8.20446,
8.6016, 9.12415, 7.23641, 7.33709, 6.43238, 9.38801, -2.28348, -3.96712, -3.20255, 3.16932,
2.27277, 10.3439, 10.3736, 9.58035, -3.07083, 9.80685, -5.7724, -3.02309, -2.63171,
-4.07598, 10.74, 0.288994, 7.86154, 7.0901, 9.12201, 3.83999, 9.77689, -2.6043, 0.736222,
7.72211, -3.22203, 6.93626, 0.936937, 7.56919, 10.8843, 7.82779, 10.491, 7.66981, 6.97409,
-6.75401, 11.9446, 8.73654, 4.14067, 7.16419, -2.96012, -3.99404, 7.12867, 5.22781,
-3.54837, 4.31269, 10.3057, 7.86771, 8.46915, 0.922005, 0.405792, -2.69895, -3.54029,
10.8312, 8.33612, 2.52362, 6.99186, 8.43697, 7.36247, 7.42479, 1.74722, -2.12984, 3.81955,
-2.48551, -3.84475, -1.91533, 2.7416, 2.97757, 3.44219, 7.3802, -4.50311, 2.03566, 1.27892,
-2.79529, 3.25552, 8.11061, 1.00113, -2.2502, 10.8226, 11.1265, -2.83632, 1.81106, 0.282092,
7.07716, 3.19945, 3.61945, 3.61651, 6.88568, 2.41171, -1.59668, 1.89324, -4.37025, 7.69155,
1.77407, 7.09046, -1.71846, 3.68452, 7.70137, -3.517, 10.0128, 7.48329, 7.28461, 0.992859,
4.26104, 8.23996, 1.19119, 2.29189, 8.3447, -2.34989, 2.11833, -2.35689, 4.45438, -2.09301,
4.03803, -2.33078, 7.80239, 4.94584, 0.921752, 8.62497, 2.75124, 7.46835, 1.71491, -3.53893,
1.62985, 5.0222, -2.93367, -3.08024, 4.02475, -3.61309, 3.22158, -5.62526, 7.47232, 8.57259,
-2.89873, 3.26932, 7.81983, 7.55766, 9.44945, 10.8382, 6.96406, -2.198, -4.04183, 8.27777,
2.08223, -4.5255, 0.442027, 1.03958, 1.5095, 7.48042, -4.41887, 0.575174, 0.933138, 10.8942,
5.18159, -2.13752, 0.999724, -1.86164, -1.76886, 9.87958, -4.6098, -3.70187, 10.1992,
-2.30461, 2.0595, -4.74677, 9.95594, 8.23955, 6.29399, -4.26702, 9.94518, 4.66672, 1.99132,
3.12482, 2.78866, 9.72127, -3.82526, 4.41097, 7.41015, -3.58818, 1.31508, 7.46822, -3.49658,
-3.77635, 9.93528, -3.10834, -1.5863, 7.50629, 2.78142, 1.21818, 2.03415, 7.2333, 7.18352,
2.39289, 8.66883, 2.6609, 1.73821, 10.9249, 7.47265, -3.46472, 7.3713, -2.3664, 4.06268,
12.3774, -5.12996, 1.15091, 9.30941, 4.55381, -2.63619, -4.70465, -3.08511, -2.20935,
10.6251, 8.3606, 4.4179, 7.21293, 2.29802, -5.07209, -1.8836, -4.23647, 8.84079, 11.5438,
8.67415, -3.03989, 3.33917, 10.1825, -2.63005, 6.00168, 6.67096, 4.90269, 5.10152, 8.42183,
2.35362, 7.49012, 0.608348, 7.04026, -3.42192, 10.6234, 1.51255, -2.19394, -3.05676,
7.37504, -2.31501, -4.5887, -2.83172, 9.13135, 2.21427, -2.24389, -3.46944, 0.640516,
7.81536, -2.16746, -3.21651, 4.86487, -2.9802, 7.25286, 8.09357, 10.1283, -2.63105, 8.10895,
7.9305, 8.42195, 8.05405, -1.64444, 11.0986, 6.48017, -5.11504, -2.39062, -2.9965, 9.08297,
7.54561, 1.44218, 8.47196, 9.63261, 8.99993, -1.77102, -4.3024, -3.63525, -3.67766, 7.58399,
8.78061, 7.0414, -4.17816, 7.93517, 2.39517, 3.02725, 1.65106, 7.52857, -3.39794, 5.72749,
8.18438, 7.71978, -2.31884, 10.6674, -1.51303, 3.73041, -1.82669, 8.5236, 10.4825, 9.54161,
7.42593, 8.30021, 7.25109, -2.50195, -2.77423, 9.3339, 4.58436, 1.06728, 3.13836, -4.55808,
9.08557, 9.65879, 6.24853, -2.30059, 5.40485, -4.47436, -3.79724, -2.57632, 5.26942,
8.22293, 0.297806, 8.4771, 8.14725, 9.29075, 7.76736, 3.5839, -3.07919, 8.49036, 2.74874,
-3.5349, -3.74571, 2.43945, 7.11437, 8.1187, 2.33839, 6.98676, 2.63406, -4.19662, -4.21333,
2.08803, -0.172614, 7.42482, -3.07194, 9.02011, -3.11342, 2.29251, 7.44408, 4.7079,
-5.48283, 13.8892, -2.24843, 0.731188, 8.64402, 7.09748, 10.3015, 1.06317, -1.78825, 11.12,
7.88556, 7.87393, 0.97158, 3.76675, 3.56304, 11.5317, 0.461127, 2.95621, -4.5947, 1.19527,
8.72499, 7.77715, 0.853998, 10.5496, 6.97044, 12.0135, -5.56529, -4.25688, -2.82884,
8.44658, 1.65341, -0.793365, 0.269826, -1.65916, 2.88499, -6.76815, -3.43835, 9.01546,
-4.79757, 7.29354, 8.92177, -2.84094, -3.06018, 1.09752, 7.07087, 5.18629, 11.4293, 8.4068,
-2.60479, 12.1166, 9.52241, 7.59741, 3.44531, 4.4101, 9.55459, -3.24371, -3.886, 7.58139,
-2.55539, 8.39979, 7.90425, -2.41234, -5.99753, 3.31509, 7.68596, -2.73161, 7.89177, -4.266,
7.53467, 7.08281, -2.2847, 7.88447, -3.46655, 9.00345, 8.66619, 5.48981, -3.03498, 0.257503,
-2.8958, 9.84208, 7.25076, 1.79259, 7.67168, 1.59797, -4.6268, 8.50472, -4.22251, 1.56738,
3.883, 5.11256, 9.45, 0.0239288, 8.93114, -5.26271, 7.96693, -3.16842, 11.2804, 6.09038,
-5.22041, 3.31868, 7.58335, 0.660335, 7.24711, -1.84997, -4.43275, 8.28014, 4.5727,
-4.07165, 8.40121, 8.79388, 7.81944, 7.83563, 8.62069, 11.692, 8.2813, 8.80225, 1.98855,
5.99944, 8.16071, 9.4699, 7.47377, 0.0488546, 0.345089, 7.15304, 8.37968, 5.67512, 1.34247,
-5.17889, -4.61197, 8.66163, 8.93329, 8.2656, 1.60217, 5.23957, 1.61696, 7.14583, 8.90427,
-3.13744, 1.23975, 9.36569, -2.70493, -2.95913, 7.96163, 8.11219, -4.25703, -5.40141,
-2.39493, -1.89543, 9.21251, -1.94727, 2.33057, -0.46099, 8.46644, 9.47514, 2.80716,
8.36472, 7.90873, -3.12824, 7.75874, -5.15051, 8.85685, 7.99248, -4.24453, -2.01081,
8.40758, 8.99902, -0.21328, 8.70234, 8.77528, -2.9706, -6.44803, -2.75734, 0.29203, 8.8928,
-3.93167, 7.17523, 8.43869, 8.24281, 2.83163, -3.50842, 4.55937, 3.14507, 9.05543, 8.23264,
7.31048, 7.35476, -3.89192, 7.02153, 4.73424, 10.7941, -0.504936, 8.78946, 1.88167, 9.77524,
-6.74113, 9.61728, 1.60925, 8.58931, -0.719022, 9.23353, -2.0148, 9.84058, 9.97459,
-1.83402, 7.42254, -1.83538, -0.142861, 7.74286, -5.21762, 1.14634, 3.25375, -2.45917,
8.91662, 7.99737, -2.80592, 8.5719, 12.212, -4.12051, 2.97778, 7.94883, 8.1935, 5.26345,
7.53605, 0.698947, 6.18496, 4.54226, 5.67832, 7.21079, -2.65151, -2.92679, 8.42503,
-3.48492, 8.34262, 7.64471, 9.50049, 9.58745, 7.6163, -4.30161, 0.372132, -3.39666,
-8.60933, -5.7757, -2.8901, 2.97046, 1.69165, 10.1473, 7.51105, 7.42642, -2.13661, 11.4068,
2.40978, -3.28474, 7.78866, -3.50181, 4.56707, 7.67032, -4.958, 7.40798, 1.60109, 4.42746,
-2.46003, 3.19127, -2.42756, -3.11895, 1.4406, -4.00081, 10.3105, 8.2613, 8.1815, 7.29676,
10.2274, 9.77538, -2.23837, 10.2068, 1.74667, 9.00261, 8.04113, -3.75065, 8.95244, -5.081,
-4.46439, 8.70132, 8.12473, -2.21261, 8.74769, -3.51792, 7.14574, -2.36847, 7.85499,
6.51923, 1.39493, -3.20615, -3.58303, 2.08489, -2.69151, 9.17738, 2.2806, 8.45754, 1.65779,
6.76297, 8.34504, 11.3599, -2.98393, 1.23705, 1.69981, -2.86725, -3.73018, -3.59708,
6.94355, -4.06254, 6.28208, 7.4799, -2.67781, 1.50646, -5.17892, 4.25433, -2.5758, 8.59289,
1.82092, 8.681, -3.62077, 7.25756, 9.87741, 4.9581, 4.69378, 7.22074, 9.53423, 8.91959,
5.08896, 9.40558, 7.8344, 8.40192, 4.94232, 7.15503, 8.19065, 10.4035, 4.27498, -1.9674,
8.08971, -4.96931, 8.14026, -4.19451, 7.50368, 7.56497, -3.09577, -3.36793, 1.69719,
7.24622, 9.28912, -4.24261, 2.12384, -4.69439, 9.3564, -1.84381, -2.36067, 7.76743,
0.218481, 7.02796, 7.23179, -1.90048, 3.80099, 10.2116, 11.1765, 10.5124, 7.46352, -2.10633,
6.93032, -3.16878, 3.39955, 7.23568, -4.75332, 2.87289, -4.18172, 2.64193, -2.99615,
4.80601, 10.1971, 7.31783, -5.36035, -4.29884, 9.01366, 5.77554, -4.56077, 9.62289,
0.925158, -4.95578, 4.25848, 6.89222, 2.78037, -4.7084, 11.3962, 7.91501, 8.49056, -4.25377,
0.622223, 10.6004, 5.27277, -2.86282, 8.26083, 8.17676, 8.80462, 7.14008, 9.56577, 7.94874,
-5.79996, -4.21396, -4.23378, 8.03073, -4.9915, 7.77215, 3.84435, 8.60446, 3.03248, 7.6286,
9.52563, 0.340962, -4.58176, 2.43933, 8.00042, 0.3252, -0.00758538, 0.517806, 8.80512,
-3.02561, 7.53519, -6.80473, -3.92672, 8.82202, -2.63669, 1.82263, 8.55541, 9.80417,
6.26249, -3.28269, 7.67212, 2.35171, 2.88195, 8.91088, 7.14699, -2.01398, 7.88028, 4.05731,
7.68871, 7.41969, 2.029, 8.28036, 7.76259, -3.86172, 3.70514, -3.75678, -3.6581, 1.79063,
8.10007, 4.34096, -2.2301, -2.35885, 8.24934, 9.66052, 8.92825, 3.47111, -2.72732, 7.19215,
-2.15824, -3.82218, 6.96033, -2.2274, 1.41853, 8.24792, -2.99447, 8.87713, 7.83503, 8.01486,
9.87629, 9.1245, 5.45902, -3.87854, -0.152859, -2.15279, 0.862212, -3.61139, 2.82537,
8.20333, 2.08946, 7.44876, 8.09164, -2.6069, 3.54376, -3.15653, 7.69232, 0.342251, 7.46139,
-4.52377, 0.880522, 7.84044, 1.31106, -3.14342, 8.18088, 8.53923, 10.7798, 7.56846,
-4.62478, 7.07196, -3.7331, 1.75074),
.Dim = c(2000, 2))
alpha <- 1
beta_a <- 1
beta_b <- 0.005
